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Without actually performing the long division, state whether the following rational numbers will have a terminating decimal expansion or a non-terminating repeating decimal expansion: 6 / 15

Q1 (8)   Without actually performing the long division, state whether the following rational
              numbers will have a terminating decimal expansion or a non-terminating repeating decimal
             expansion: 6 / 15 

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S Sayak

\\\frac{6}{15}=\frac{2\times 3}{3\times 5}\\ \frac{6}{15}=\frac{2}{5}

The denominator is of the form 2a x 5b where a = 0 and b = 1. Therefore the given rational number will have a terminating decimal expansion.

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